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Finding the Fourth Proportional to 31.09, 46.57 and 24.29

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Solution

The fourth proportional to 31.09, 46.57 and 24.29 is: 36.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.09 : 46.57 = 24.29 : x
  2. Step 2: Convert to fraction form
    31.09/46.57 = 24.29/x
  3. Step 3: Cross multiply
    31.09x = 46.57 × 24.29
  4. Step 4: Simplify right side
    31.09x = 1,131.19
  5. Step 5: Solve for x
    x = 1,131.19/31.09
  6. Step 6: Final answer
    x = 36.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.